Solve (5-1/6)div(6+2/3)

$$( 5 - \frac { 1 } { 6 } ) \div ( 6 + \frac { 2 } { 3 } )$$

Evaluate

$$\frac{29}{40}=0.725$$

Solution Steps

Convert 5 to fraction \frac{30}{6}.

$$\frac{\frac{30}{6}-\frac{1}{6}}{6+\frac{2}{3}}$$

Since \frac{30}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{30-1}{6}}{6+\frac{2}{3}}$$

Subtract 1 from 30 to get 29.

$$\frac{\frac{29}{6}}{6+\frac{2}{3}}$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{\frac{29}{6}}{\frac{18}{3}+\frac{2}{3}}$$

Since \frac{18}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{29}{6}}{\frac{18+2}{3}}$$

Add 18 and 2 to get 20.

$$\frac{\frac{29}{6}}{\frac{20}{3}}$$

Divide \frac{29}{6} by \frac{20}{3} by multiplying \frac{29}{6} by the reciprocal of \frac{20}{3}.

$$\frac{29}{6}\times \frac{3}{20}$$

Multiply \frac{29}{6} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29\times 3}{6\times 20}$$

Do the multiplications in the fraction \frac{29\times 3}{6\times 20}.

$$\frac{87}{120}$$

Reduce the fraction \frac{87}{120} to lowest terms by extracting and canceling out 3.

$$\frac{29}{40}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 5} = 0.725$$